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Quasi-Monte Carlo (QMC) sampling has been developed for integration over [0;1]s where it has superior accuracy to Monte Carlo (MC) for integrands of bounded variation.
Let G=SU(2) and let \Omega G denote the space of continuous based loops in G, equipped with the pointwise conjugation action of G. It is a classical fact in topology that the ordinary cohomology H^*(\...
Abstract: In 2003 COHN and UMANS introduced a group-theoretic approach to fast matrix multiplication. This involves finding large subsets of a group $G$ satisfying the Triple Product Property (TPP) as...
Abstract: In the context of group-theoretic fast matrix multiplication the TPP capacity is used to bound the exponent $\omega$ of matrix multiplication. We prove a new and sharper upper bound for the ...
Abstract: We give an invariant formula for a star product with separation of variables on a pseudo-Kahler manifold.
Abstract: We propose a general conjecture on decompositions of finite simple groups as products of conjugates of an arbitrary subset. We prove this conjecture for bounded subsets of arbitrary finite s...
Cuntz and Li have defined a C-algebra associated to any integral domain, using generators and relations, and proved that it is simple and purely infinite and that it is stably isomorphic to a crossed...
We give a complete answer to the questions of factoriality, type classification and fullness for arbitrary free product von Neumann algebras
We consider the graph together with the arbitrary partition of its vertex set into n subsets (n-partitioned graph). On the set of $n$-partitioned graphs distinguished up to isomorphism we define the b...
We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A-G based on the explicit construction of weight states. This straightforward ap...
This note improves the best known exponent 1/12 in the prime field sum-product inequality (for small sets) to 1/11, modulo a logarithmic factor.
The orbit decomposition is presented for the real form of complex simple Jordan algebra with the automorphism group F$_{4(-20)}$, explicitly, in terms of the cross product and the characteristic polyn...
The Rees product of posets      Rees product  posets        2010/12/10
We determine how the flag f-vector of any graded poset changes under the Rees product with the chain, and more generally, any t-ary tree. As a corollary, the M¨obius function of the Rees product of a...
In this paper, some groups ${\rm Ext}_A^{s,t}(Z_p,Z_p)$ with specialized $s$ and $t$ are first computed by the May spectral sequence. Then we make use of the Adams spectral sequence to prove the exist...

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